\newproblem{lay:1_5_26}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 1.5.26}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Suppose $A$ is the $3\times 3$ zero matrix. Describe the solution set of the equation $A\mathbf{x}=\mathbf{0}$
}
{
  % Solution
	The set of solutions is $S=\mathbb{R}^3$ since for any vector $\mathbf{x}\in\mathbb{R}^3$ we have
	\begin{center}
		$A\mathbf{x}=\begin{pmatrix}0&0&0\\0&0&0\\0&0&0\end{pmatrix}\begin{pmatrix}x_1\\x_2\\x_3\end{pmatrix}=\begin{pmatrix}0\\0\\0\end{pmatrix}=\mathbf{0}$
	\end{center}
}
\useproblem{lay:1_5_26}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
